{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "5ecd430b",
      "metadata": {
        "id": "5ecd430b"
      },
      "source": [
        "# Useful Functions in Bifrost\n",
        "\n",
        "<a href=\"https://colab.research.google.com/github/lwa-project/bifrost/blob/master/tutorial/01_useful_functions.ipynb\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\"></a>\n",
        "\n",
        "With the basics of how to get data onto and off of the GPU, we can now start to look at useful functions in Bifrost.  Bifrost provides many functions that run on GPUs and interact via `bifrost.ndarray`s:\n",
        "\n",
        " * `bifrost.fdmt` — the fast dispersion measure transform\n",
        " * `bifrost.fft` — multi-dimensional Fourier transforms\n",
        " * `bifrost.fir` — finite impulse response (FIR) filters\n",
        " * `bifrost.linalg` — linear algebra module for matrix-matrix operations\n",
        " * `bifrost.map` — JIT functions for element-wise operations\n",
        " * `bifrost.quantize` — quantizers for moving between floating and integer types\n",
        " * `bifrost.reduce` — reduction (sum, min, max, etc.) array operations\n",
        " * `bifrost.romein` — data gridder\n",
        " * `bifrost.transpose` — data transpositions\n",
        " * `bifrost.unpack` — unpackers for moving between integer and floating types\n",
        "\n",
        "We have already seen maps and FFTs in action so let's look at some of the other functions here."
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "%%capture install_log\n",
        "# Import bifrost, but attempt to auto-install if needed (and we're running on\n",
        "# Colab). If something goes wrong, evaluate install_log.show() in a new block\n",
        "# to retrieve the details.\n",
        "try:\n",
        "  import bifrost\n",
        "except ModuleNotFoundError:\n",
        "  try:\n",
        "    import google.colab\n",
        "    !sudo apt-get -qq install universal-ctags libopenblas-dev software-properties-common build-essential\n",
        "    !pip install -q contextlib2 pint simplejson scipy git+https://github.com/ctypesgen/ctypesgen.git\n",
        "    ![ -d ~/bifrost/.git ] || git clone https://github.com/lwa-project/bifrost ~/bifrost\n",
        "    !(cd ~/bifrost && ./configure && make -j all && sudo make install)\n",
        "    import bifrost\n",
        "  except ModuleNotFoundError:\n",
        "    print(\"Sorry, could not import bifrost and we're not on colab.\")"
      ],
      "metadata": {
        "id": "fM8F7RpjKayt"
      },
      "id": "fM8F7RpjKayt",
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "id": "bd3473d6",
      "metadata": {
        "id": "bd3473d6"
      },
      "source": [
        "## bifrost.reduce\n",
        "\n",
        "`bifrost.reduce` is a complement to `bifrost.map` that deals with operations that reduce the size of an array, like a summation along an axis."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "id": "ccc10558",
      "metadata": {
        "id": "ccc10558",
        "outputId": "ee89a590-fb00-4aee-9e66-efcd9a882b28",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "numpy: [  4.140649   18.068268  -28.093277   -3.199566   -7.7478523  32.780075\n",
            " -37.850746  -24.040245   25.390383   54.569324 ]\n",
            "bifrost: [  4.140649   18.068268  -28.093285   -3.1995583  -7.7478404  32.780083\n",
            " -37.850758  -24.040249   25.390385   54.56932  ]\n"
          ]
        }
      ],
      "source": [
        "import numpy\n",
        "data = numpy.random.randn(10, 1000)\n",
        "data = data.astype(numpy.float32)\n",
        "sdata = data.sum(axis=1)\n",
        "print('numpy:', sdata)\n",
        "\n",
        "data = bifrost.ndarray(data, space='cuda')\n",
        "sdata = bifrost.ndarray(shape=(data.shape[0], 1), dtype=sdata.dtype,\n",
        "                        space='cuda')\n",
        "bifrost.reduce(data, sdata, op='sum')\n",
        "sdata2 = sdata.copy(space='system')\n",
        "print('bifrost:', sdata2[:,0])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "afb6b49d",
      "metadata": {
        "id": "afb6b49d"
      },
      "source": [
        "During a reduction Bifrost uses the difference in the dimensions of the input and output arrays to determine what axis to run the reduction on.  Here we have summed along the second axis by setting that dimension to one for sdata.\n",
        "\n",
        "In addition to sum, there are also reduction operations that work on power, i.e., magnitude squared:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "id": "17a76f06",
      "metadata": {
        "id": "17a76f06",
        "outputId": "55a60a6e-f08c-4b0b-bc93-dc99ed30e95f",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "numpy: [1010.9479  1074.0662   997.83887  917.8666   988.5895   993.8688\n",
            " 1045.6895   993.13806 1067.0187  1014.4079 ]\n",
            "bifrost: [1010.94824 1074.0671   997.8386   917.8666   988.58954  993.8687\n",
            " 1045.6901   993.1382  1067.019   1014.4079 ]\n"
          ]
        }
      ],
      "source": [
        "data = numpy.random.randn(10, 1000)\n",
        "data = data.astype(numpy.float32)\n",
        "sdata = (data**2).sum(axis=1)\n",
        "print('numpy:', sdata)\n",
        "\n",
        "data = bifrost.ndarray(data, space='cuda')\n",
        "sdata = bifrost.ndarray(shape=(data.shape[0], 1), dtype=sdata.dtype,\n",
        "                        space='cuda')\n",
        "bifrost.reduce(data, sdata, op='pwrsum')\n",
        "sdata2 = sdata.copy(space='system')\n",
        "print('bifrost:', sdata2[:,0])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "df8b8726",
      "metadata": {
        "id": "df8b8726"
      },
      "source": [
        "`bifrost.reduce` currently only supports explicit reduction along one axis at a time.  However, it may be possible to run multi-dimensional reductions for reshaping the data:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "id": "50c5887d",
      "metadata": {
        "id": "50c5887d",
        "outputId": "6725e484-515c-44e2-9737-65c095725ad6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "numpy: 10091.392\n",
            "bifrost: 10091.382\n"
          ]
        }
      ],
      "source": [
        "data = numpy.random.randn(10, 1000)\n",
        "data = data.astype(numpy.float32)\n",
        "sdata = (data**2).sum()\n",
        "print('numpy:', sdata)\n",
        "\n",
        "data = bifrost.ndarray(data, space='cuda')\n",
        "data = data.reshape(data.shape[0]*data.shape[1])\n",
        "sdata = bifrost.ndarray(shape=(1,), dtype=sdata.dtype, space='cuda')\n",
        "bifrost.reduce(data, sdata, op='pwrsum')\n",
        "sdata2 = sdata.copy(space='system')\n",
        "print('bifrost:', sdata2[0])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "85537a6d",
      "metadata": {
        "id": "85537a6d"
      },
      "source": [
        "## bifrost.transpose\n",
        "\n",
        "For some data processing it may be more convenient to have the axis in a different order.  To transpose a GPU array in Bifrost there is the `bifrost.transpose` function:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "id": "1c7cf1a4",
      "metadata": {
        "id": "1c7cf1a4",
        "outputId": "f8371a1f-f594-4a08-d4a6-fba1ec6faea3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "numpy: -0.3481426 -> -0.3481426\n",
            "bifrost: -0.3481426 -> -0.3481426\n"
          ]
        }
      ],
      "source": [
        "data = numpy.random.randn(10, 1000)\n",
        "data = data.astype(numpy.float32)\n",
        "tdata = data.T.copy()\n",
        "print('numpy:', data[0,9], '->', tdata[9,0])\n",
        "\n",
        "data = bifrost.ndarray(data, space='cuda')\n",
        "tdata = bifrost.ndarray(shape=data.shape[::-1], dtype=data.dtype,\n",
        "                        space='cuda')\n",
        "bifrost.transpose(tdata, data, axes=(1,0))\n",
        "data2 = data.copy(space='system')\n",
        "tdata2 = tdata.copy(space='system')\n",
        "print('bifrost:', data2[0,9], '->', tdata2[9,0])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "bf2d856f",
      "metadata": {
        "id": "bf2d856f"
      },
      "source": [
        "Unlike `bifrost.reduce`, `bifrost.transpose` requires you to have both an output array with the correct shape and to explicitly specify the axis ordering in the call.\n",
        "\n",
        "This function also supports general data re-ordering operations as well:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "id": "40228867",
      "metadata": {
        "id": "40228867",
        "outputId": "95617589-b0e9-44ab-a16d-2f451892ed80",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "numpy: -0.78903913 -> -0.78903913\n",
            "bifrost: -0.78903913 -> -0.78903913\n"
          ]
        }
      ],
      "source": [
        "data = numpy.random.randn(10, 20, 30, 40)\n",
        "data = data.astype(numpy.float32)\n",
        "tdata = data.transpose(1,3,2,0).copy()\n",
        "print('numpy:', data[1,3,5,7], '->', tdata[3,7,5,1])\n",
        "\n",
        "data = bifrost.ndarray(data, space='cuda')\n",
        "tdata = bifrost.ndarray(shape=[data.shape[v] for v in (1,3,2,0)],\n",
        "                        dtype=data.dtype, space='cuda')\n",
        "bifrost.transpose(tdata, data, axes=(1,3,2,0))\n",
        "data2 = data.copy(space='system')\n",
        "tdata2 = tdata.copy(space='system')\n",
        "print('bifrost:', data2[1,3,5,7], '->', tdata2[3,7,5,1])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "6e291072",
      "metadata": {
        "id": "6e291072"
      },
      "source": [
        "## bifrost.fdmt\n",
        "\n",
        "Bifrost includes a module for computing the fast dispersion measure transform of [Zackay and Ofek](https://iopscience.iop.org/article/10.3847/1538-4357/835/1/11/meta) (2017, ApJ 835 11) for incoherent dedispersion.  Like the `bifrost.fft` module using the FDMT requires some setup.  To get started let's make a simulation dispersed pulse at a DM of 5.5 pc/cm³:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "id": "acb5f590",
      "metadata": {
        "id": "acb5f590",
        "outputId": "f5d0776c-f6cb-4384-c1e9-a6efb157f21d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "DM = 1.25\n",
        "time = numpy.linspace(0, 2, 1000)\n",
        "freq = numpy.linspace(50e6, 70e6, 200)\n",
        "data = numpy.random.randn(freq.size, time.size)\n",
        "data[:,100] += 10.0\n",
        "data[:,101] += 8.0\n",
        "data[:,102] += 4.0\n",
        "data[:,103] += 1.0\n",
        "for i in range(freq.size):\n",
        "    delay = 4.15e-3 * DM * ((freq[i]/1e9)**-2 - (freq[-1]/1e9)**-2)\n",
        "    delay = int(round(delay / (time[1] - time[0])))\n",
        "    data[i,:] = numpy.roll(data[i,:], delay)\n",
        "data = data.astype(numpy.float32)\n",
        "\n",
        "import pylab\n",
        "pylab.imshow(data, extent=(time[0], time[-1], freq[-1]/1e6, freq[0]/1e6))\n",
        "pylab.axis('auto')\n",
        "pylab.xlabel('Time [s]')\n",
        "pylab.ylabel('Frequency [MHz]'); None"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "a65b79b7",
      "metadata": {
        "id": "a65b79b7"
      },
      "source": [
        "Now setup and run the FDMT on the data:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "id": "7c33477b",
      "metadata": {
        "id": "7c33477b",
        "outputId": "49870b5d-a24e-47ef-c324-8fe5290b5d90",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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o/SNnyyQQGco2A/b29YCFlehcNiDyMv2fEw5C/R1LwK/h/1kyqydTkuqy6dXB7jV29XhdPMvNrJzs7+pKoTHJ4jN8nNfuZP1XReGgk4xhVbZ7xAz/3RtjdU1x25XWq2s75vh3WUG1iQ1krkZuaubOWheTVslAtgcSmTtZxi+dLFriIlfr2a/zCQS7kJNsBlnfmlxzLm5Fr99k5rbsMc7UW8IekbDWKmlXVk8II6zgZjy5fIzkwsFnlfAidmZ5Kv5R+AfMjDf+2NgczlwDOvMFcpcKf3A1DtBxP3Ede0wWVr7AZg1k4MvX+Hl2nXG7+d5MoXh/MuaYt9uVt1uBPltlwGHQzVynNLYV/K+uNiWkwnVwe5gJ5vUo0GV97dXj97L17C5RP98DZQbjbGasVrS8E4HxNNOaHFeGBxlDHQ//RvYUmStzUdS7Lmluoy5L4N+umDkFz3pPE2tdf4f4hwKAfpNT4jpXS3+9NliI3keNIfdijt5XihNr+9P+7Mlcottzur01O89HBvhk/mJ1Q+ylm5BZWfVfOyCJeZ+Ks5y8PFaqJoqIlRS3t2eNaJ2HaSvD+6nKjmMrXOaeuy0DP25fFifgcrxtXlZ1T1FcS/vH7eey+TxoxuoxM3dJMahx3xn0s0Sl4flE0CzHY3QpzoXiQhKnYCXLzyOLhXnbMgvNFSuBUUqkmUtQaOksOqszWWrAbrwmmO7/k/s5uIJ8PBMrubHSvH/yXfBibZ4cdNfOddx+Dr5xrVFiVZ1OIYsCgAB+dazqOFjok47Z7hi6CA28ie901iQ+jvGdTAb4qGtDX/g5slvY1I1mPgFUXb3cugMapg8rJ3XNhVQZyboa/Z2dY/eP7fTTf7O7r6fsOFbTm9lnMS8uI7sHiEFypvO6QldrgoHR+8IWma/TqBbUaSuHn59aYDQBCUqGWFuN8psTFlGmBFnUwuEx1rFi60Pbyvfz2hRtEz3vtK1cP8e1NIXUvLG8gutIrJ5s4takgFFrZm98dEIkk8TwfWkaJ+pLQypwQGhiph3iAgu/6zOlvWECCLZvnxmF6RhSW7dEov3nGLwvOk6PsQzwceWvLreZFmUBrSKg2VcTaOWPeO/FqjOZlXHVM5HZMsoo1F4G1+/3eX1M6+YZN398rFRrYF4Uhc+E2R1DYxauDe1PXEPq0ssW9rolcZOwhaWWldO1T0LQ0EA33+czdl/v0gOFDFxZYd0U02IlWkHxDODm67IFv+pypPN1kWS27sSvZ6DzCVRt6xrXoRl8AJc7V7TvjcRBxBLZQEsozOoByO5Z2xfAkMdI3d/0XNIFs+624gXj7Jr0d13dv/QM6nUKWgJuu+6wbA2VPK+gQ6hPNzLnHiMZ4KNKd/0dKJFB2cztvZkkfvFITugEc6vSkg8DaF1oDJZ8L9fNs75S+inq/Ti7ivRDBrbZZOY/z0CIQSyji2YfS8/txApdZ7QKfNWVd2gApfa/xy5ay6jvAAObtjfrE7syFVyye7lf6vLUPqtk9XMbqL+VUJBtNEfSLAOYySUnVlO6qHS1TrtpcNR1lVkz5LYKQO1tCRZqBMMwMbJpU9C996lnwXPbWTTeyN4LnXzQdRmFu2G5+f36rroQ+abstPlJkAE+rBRoZmWq/Pde3p6ob9clSbcTJAMeLbeytHYAkGMU6qpxphvQzrideFCtrdMGIGxdUB8DiLswiKmLy5WDKlkuk9vLYKcMOlXADMjcluxcVr6fYpqwWm+sYLTPPddiRkjI+qN9yYTqVws9Z6GRS0jHmv9O3GyhWrbyBYiqJ+B4pPGe2j4kCtmVaoivqQJmb4RYFl1LgrZBSd8LtbI0P2Nv/Kn/1crTsaTvn91sDWB3mHChX2QZFrfgNaXXEyYXDz4hGMizsXARuQ6SmXqzLoCsKJ7tpLGf6uKyLebjbo/g+mAFQQrft73emy0tjc/PnQR4bMrPM4DUWWXy4q+zyOqu8vayNZIpaHb1KZjWmFUCNBLfqX3ge9VqYXKHjxsH1dWi1DIz96KSEbiv6qrLyuIys5Q9DLxMaJnFktEZN4C6g2hnE8JG4U/0vMR1l9KRp+1d1rhNQ2Kg39mCzSaIbjnQNS44b7/LCgjBJXeDC1TjVkE0B1wGPF5W4jIMLvqs7HMmsofDspV64ip9EuWywYcYPumDzJhqvRcIEcD8b57taHCT2wFg/eDFImHg6SltIGaJ9mv5/1rXjBofaphwpJxP8waGer/2QdyWwWXJ45pZKP5/RiJQRpy6/tjdoX3gtrli0gkCl6c++r04U0ar5vu4rRy41z2h+DxPRDJrhNvr7CuzaDGAYisMUJMAozZZkqqGBZJcJg+Bv9u81XWmQDOlPNOGZV53L0cej1VW7jzHOEttoOwOmj3j5h2et+sTF+F2XQnPi+NWfF2I7zAw03bXvjSj6PufTSKecDebymWDD5LZVzgZlaVZO7PjWZNaP6lfXOMVW0NicJ+Pr+WlriSmXitNWMWVNQOaMsvcmposKmsgJt7Uer380pllqlXDloKuF8oo0Nx+nq0zUHEfuL1quTl1OwHrZjFwxjrT8VAXpAJPr5y9eM2O1ISXZK0Fy5qtT4hlnlkMUjcv5NT3OlhAU7xOJaVu07kQR9pzbwFp+SHxJ1vuQiyoa+960onHAIjPtANEdbzEgmLvBm/Sl2694ter5d+z/J4CuXjwAdC8+PVFlxfBZ/Qa6AsfqFyfWjzZTMpfPJ45OwNOfcLc7o4Vlio7BxQFw8zf7Aw8taBYkWfKJfjPO4DOs0oGmcyacAXuu43OZaMS+9+ZYslmifyMlDpdL4mKJHUDZrNnVVJ6XutlYFJrCPIOSt0BTHSCJFmO99amKYmg1w+1qkKZZc7XFE20p0/yHjRBdu+rjo8CW+bOSiT97sjyqv/34j29eKSX13nGRXfVTSxCnZxVQGIQBXJr7SmSiwefXV+wuEDc8gkiFk7PJcezyfBiex2chkRjPFpmFv/xmT8rdP541NVm9BEysQDoz0KVhcYWBLvjTD5i3do7k+AyIUDxsrNtD2a5zoU/+LDFBB3fc2eoG5DFx0xjI8raUqDhtmSWEZevbRFCTHN8lQ1MyKXlVk4yK8/o/5miq/vFaLsYtFervbqYrmU7Zpq8eBwmlGOkfP1v368pi6ly2SodZZ0u8kze9SYRqktvXy8HSU0aTPU2rneKI6fCY/GUymWDjyENJCottHGpTbR5U8/tBvk4/GXKgub1Bvftd164+gHzzLO0ik7dP7QteLi/XleiAuD6sray4lHlyeNphrqoM4vPeFk8LjqrzPz4oQ6aLbO7TQHdj/t4MPiv99ayK6AIcUEl+P5lrBJrppbjz7lD2+4tFtxzEZfA6opWHbu/UlewvOtcL8dEe1aU8URmsibW0TxPj9N4vXUdFgF+NhGS36nirkBNLmh2j2m769+S+Zmso1oPf0PcdgLJbDwZeLqAxy63G1yQT4tcNvignT0C7Wykt6aBg7rNzAYESDy7S5W5bADXc2ctjUnulzq8HCAm0cxiRvz/1uG2Di6T2+KkCAcu/3B1G+8bdoNdyqPAOitm8uMHNpSCLBB3X2XLguniDhRCntiNDfQslB4Lztu153pky3MurVXN7ihtV0aG8VP+zu3klWsUZW+S0amjd6xaXrroms/zMXaBcbn8TmdArlamiMn7VstUd1lV+PJ82eORxWLdghOiRLM4lZhpvfhZrU/ZdE+x1QNcPPiIqC98R27abK6WI+6ORlm50g5p/csGQktBy/9sqdT72QpaX14OtLObrTZsimW4hDhHQlv2Osjiq9cwY6oHNDf5zrm8ubREBK2Ty+UxVODxcXbgYZBe/6+Kny0w7i8PAW88p21g5lcGoJmsSqyhKNfzbLXK5ALIlT1Zg5klVRUhjwXfn8keiIioleHKv1pmHfdrkzm6U366Fu9csehG7IIokMdteMNBBUiyllJ6dTMBTAg6TznouAzwUZla07hLrSb3QuZ2a2ZsNLupdbgLqIJQ4k7aAbi1Ad2+pNdyzMGvq8Ajbc5m3H6uKmFS6l7eaY7gojNsP7fHCMtm5QoOTETw8/x/jalJG6neJtuEBr1ZGXDMiSWLfQGtxZuRKzRvGt9PksU99B1sysyshUSCq8yBU4HKZaJN0eT5OrhonCm4/ngPIX7G7Loi8FaLsBmjDBR5jIq4Bjnfn7sByUMR1qhxefReNIAyJ/2V+xuw50nDUx7fyeSywcffWfa1sg9b/OSZzzgFHvE1N/f63x6M15gEENPRBDeXKHkTper92SqSv2X2T26fWv4eLdXr1brYXda48USB6zV7lGNV4lynZj1QZeaAoOPGsiqi1J3Hv8lNl1HtleIb4lASt2r6KAoqtbxrbGkO7+pybpvJZyBRq2brg8styfKBvRjXHMEkWHzApszRAke6iFQtCwcebUPm3tqRZkw40Whw60UXZup+3ZsMMPDQUoymfprkletjtFYvDHiASwefgjgrZf8wED/UqgTbj7JZY+HF8zFWFomZvt6wgUGhY0Ccufu2CC4prVjdZSu4zCdRGrbV69coC0oD6ezu8/vYSsgC77W+qb+gkO9XIOu5gljpqzXCtHBug1p+LBnYZYw6vXavnJ77kernOEfXlctxkZuyRXPMwidPmlrHy1HXZi/eoC7kUBAH+qf4Xvu9/Ax7Vi4QKcZzSxQI1wdLomWbhr/Vgr4+AlNMeVN/iyUT2qxAKe9Bs8TC2+ttXTed7JI4LkQuG3yAXFHO20sWAoS6DTYpiyZNvH4057Sh0jAFeFyBnk4r8AgLq+dqUqtHPqrUXafXsDtJLRguQ11VqsSy+I7HdJhmW8uV8rKAPwMPK7cbZu3hmNbH1/pvqisEw29yd2r5mVJna4rHd7KgVMMtqthoewPuA6/P4XtrfUCkFaubdOq4k5kmDWwLf0mp+rYBoW/Utu5YqXXH12jf+Rrpp0u6xk5ct1xmmDDOBCL8LDqguTEFeUEpW1gWn/eFywAfF37Zkhn3Fhcgf7aDjObW6s3osmOsRFX4I/XYxt5HnMUVyhytHb7eXXDsduu1mT9YB0P/X2fyiRIL1/jsj+uSzdBqfzLCg/5mRc39V8WWWGUhvqf3uQWmLhWOxWV95zVIfv8KXD2qberq6ri/dB1Jkz5n1xJL9szx88k73wJPdFOF7+bO1XrfNkmrbVUXMtBaypo2yS0JSfcT6vb38gw3WSrJ5Cglfui7rRvOkcvRdUS65faQKgN8hLKa+fNrHq31o9N1DWe/XNkHGM7f4G5hpaPXshKcDEuGgqS+ahEZKqNtj+3DEthb8nFnrq/MhcMgwYsu+d6bxlSVWWC1EWh53Ttutu4iY273quDMbH9LBbfQeEM8Lg+IedQ41tg0TIgoet2q8FOCgrjuOP7SSy6qSpg3ZusCpj8z3uVztX66/VGgFyun1kXjt2slyDueri3i+s6VzPJygkp1hcuiYSDqiLXPYe3UAKIqA3xUQfPH5i+LfEyBNi20zaAo9IPNYgY6w2f3CVtUhwPNDGmxJIsrq7r+psSYkZe/x55T90fm7tLf7GrLRC1Bvv6mrAp8zuNAWRLSWra03yVzT2b3K4j7b72WmUte9mFqLbjMVal10PlmArQq593MGVrunoLrJV6l/geaMLMvWXTi5W43Juf0Jmf83vvfa191sWUAvrm0Vp/XvbeGRsdHf8vfTUYIB9myZjGY57iOqGdpDhfbrgzwAeLLm7xIqX89nfXkM1StK7iJeBM3BgZlnnnbevEhr58Xd1bwVLdUx4Wh7VRyAPdNP25mlqml5e1WRaSKWsvTHUT3JAADKXyfWe/NfHvA12sbQHE5UqAlAYm9GXzPPdjrcwZkXi7NyjOrp7qHpcxSyLpCrrTZfbQo43ZS4vGeNGmmK2J//sFNlShv2huniYX5PdkYAPfn0tSJI5el8Tdtp5Tp4xJIBMPK2ZUBPugEHIHwIjcpz8liagKgun7Ez1UiAAFPjxDgG0ZlCngS9xfHejKywnTYrCW9zstQkdlwmMUyqLEcpnUrBgEaBxLuA7tblFbr8S0eO2935k7JZtds0aoVyterIuT/VTg2x+493t11pnplZh9cZB0yQVh/QoCiwBWO7QBHZj34tU1cgl1X67E60eIs2TkIZsAAACAASURBVCFfnpMwvJy5/R56wlb9+neTiYC/wc74pW5B3VY7c6P1JjTr9x08HMTm8/43saiJ3HIDeG6UCwef/CVR8z18XJw3K2PK6XoPd11kvu7QFJll9dx2NcBaNhDpxSw8vsMKsyo2du0IYPm5k7j3sg+Y2+bAo+t4fAsGXkx5IiDma/3+zAotcs9eklIutzdz5mfI490jMug9Lp5XzVP887Xk928WGXI5waqc0/coVZbeRge+mZXkFCdHN0gz8aIJR4177rWFy+HxZLai36sut8w15/diA9tAe/bjQiEPWy2o9cKxQB8bIg+kXo7wHKb6Tadr97SMIV25cPDZZJvV0ZDMpb6Y/pKGmanLJB+lKLo0qD3Hjygo/Prh0f/M6tFgbVYu368zOHbLKdONN/cC8pXe4uuvx04n4Opqa5uDn5ElZ9P24WbB+wpUSczFZW/jMS7L26WxNY7n8HPh9Dw8xpn7i/9nK2eWevU94T71xlSAp2v1UFm6zYdvsLa37sV0kpHUVc+vSjdlv4mkudBuAk6tn8FYz7v1xql4NC7EdfTcmWoN8/UzTTi5b2aBjDHk+csAHxZ5Ad3i2Tj7U65QeDbLgVI/70FyphDrfRzYVMmCvUoc0A+h+Zu2VMju9XiNX8NlnBIFzOIupztXWz8C3bugHI9x7DJXGY8FW1tcFrs2FQCNFEcW63KQUH8+l5FZdKFt7jYsEZh8oiIZpYPVA7R7tDSuy855dYvR8eDe5ZT+ZbWEqI6QkUOeQQo8c2mtC43bAAS6U/L85zAegYhR5tZS4n6XuQXbvXgQxIJT15+8f8Gr4ddrGb2yqe5h7dy/XDj4xJXN4QPRK81iTioXfrlFGZpaEb2YCTPS1BLRdRJ1DQm1I1PkKgqabj2UgkDLVvDQMiwqgCaOpdfOp5g0M7MElVWnAVtlrXX7t1kgGkgPVgXLnCuTtJ4d9l+dqCSz/qo4q3ssAR5RklUhZ0HxNA4yReCBuAHV/bee79KoqXzvUz/zgritMhemvydqEc5JzNR/8/9ZG3UiR23cJSAAdVyZIOAu9l7c18tt1i4NeV5y4eBDIEFBxjhz2j6akIBSmUolJhtsZmUZO47/ZmuEt0HQ2IWWke1No7OwiejJ7tKq7T+QO4rKyeIm3EZV2o3FYDlAZsqAWXW9GWQAJxkHVeJI3KdKne4pJR7bLL7Dym6NhSzdTXKyscL1v3vAQ+9HWMyq1gstxMx2LK1ZDTj9zlpORlzIXHoV9DTDtEsH/BqQzSZz2TG2aLiunlWh1i8Bjz+HQBbgMt3qkiziOnnrnRtrdh6cXDj4tC+Z5luqvnP18zLDrPciquLKrtEYDbuedIblcZW9dTreJv+/cRsJwGlbGSyzuFamTLztrFhLiTEULkOFYz31GAGhWhsZ+PZmyCdh+WV162ycn7ECnStWj7O4K3aKyl/rTLea7gERt41jD9TGfB1LTLNT42ryHmaLUxuLoQhrbS2fwaWZbOnYZ5MDoL9OK2Mz8jW92A1iHKxhqWUTQOl3pZBDXJN7oDTkI5ILB5/tpe6mbQeWD7GzodSuGygo447y4dm+K7rTvAGRuviYkcaupuqWcx974vZwS+TqKgKYWj0+u2aat1tM2g9XvEwQ8BgQx7i0z9y22m5RPAo8DADa7sz1qKw1HicvQ5l1GpvwNtf6ZnKbTsHCbbIN0PVdpaUxKYgiV2Ai1xn/a2IXOgYdVzKAyNxKYl6B8elWVN2yQXYl9Tr53c9IHdk4OKA5gAjdvqFhowXNavHp2iSdUNA41jU6h0P+nDQeNeSByIWDzyKZOwJoZ3NNsDFjmwGtIuz9ruWUTVHPp/aDrbRqBhVxf6mF01gLHcugBqY71puDRQhquwtoitf4bwewrCzdYA1YZ+cl9k2B29vI/Ton1pUo92CJOaD3YjzqroMoPF0Doyw+na3zOHnfqI1pQFsyqaeuMpe1/GaNC2RGT+3rMrfc0pZ6g7tPgUfjmSw8Fg4wtgFaaJNPoshd2wAkgXrq8l6fSxZjbKjbCXBn66OGPDgZ4APElxDRhK/HeHbYUxYkwZwHcjdWVUi0h73SRDPAUXeIiyu9hplFZRhZIj7jdyaa9K3KTMrZYz9ZLMCvy5ho3B9u256o5deLDXA8iS2QCujSfr1H5SZmn99PccIQiOb6MsXM/XMRN1awMKaprRfiPkPiEpLx66agycZC2lr7VskzU+yvjg33j0GbYjXdmAvHc7h9LOtEJh0Des8aYCUX4k3f7shU8HDl4sHHP4hmBsWrrrPsvuu55r7sQwkf7c5+LS57L71bSqrEesF6Dbyyq8qmxdJSa6Ink8VYkVJauZ6bpHeduDsb63JvRk2ulMZl5spVLQ++xuvsybwutjxsY5m+G5XAEWm9oe0yUWgsJ4r3ZDP+si4qbRY2spuJ6m/eubnTNlX6oMkZWVC7sQ+3UDOXn8fMuD8ETuk6Oi07PLvEDczAmWx1Xk6LCzrrQztOA3gellw2+EhQUReaOhU1zJ44dqDBWl1pTTRVdhk1i+D8vMuey22WYC3HZPijLXOMHdXy/FhUTuFvF25TsyA0+Sh7zDDtl4JdM2Nn64yuzRa8cl0lWbzqSjibTfuzd+WXkQJcZol7MGNqD7DFCmziD/R/XJ+TTGDkPa1khz1JJkOBFq6TBoq7BGBMNlHs1q2WBrsC+Z3IQIb7Ly7vsB6IQCyAc2IhboW4e3nzBCh4cxxtyMOVywYfQ/OC2mEKLzZA13SYQzXoe5qbY+1MbXMPpXEZruMm15R/IN5mtmJckXYp3uLCU1o338MAx6LXNqCSlMe07J7yYhBg4OCyuX0cD+IZP9Dmz+P7nUCxPqPeosXG/UTCFkFTB1Gcw/11MiGEBJ+V+wydJz5swTkri9PnrNeHCc96fX99jriEdQLkbWdSwURkgBv6ncY69VlI8L85B0TauEsFySncq8Cp39K2WDxanENuXy4bfEjCy68BZKD9oFhhiVuj+RD4fr8XiMq3zAhZCELj5vY4b5GgM0imD/vfGtCvbRLlyTELVziqZPSerO4snqKuMG9/z33HAJ1ZVera2rvG/1dLU59FB/D3FnqGv9dYhPYnzNqT2X4pxLhcFXsW4F+un+KGh1TPXpwiLCHosduAaK3ztthrW7Ig/65kYC5WTWiLTNZ6bV0md9F92HW5CnljWDaPXi4cfCx+tKJow6K5HUp1ESZYnYH6h5ApHHYhsaLv7W/DlkoWY0jblsxOHYTcBZIFmrl9XBa3I6ubiQwMYu6m0usVeDhWwZmtWaG7JcmgUstLXme2ttT9uPNMa3nZ+7A+pzTO17Hm0uA6T0bYmuHmi2JuWFp0XZcAMMelAtn9tS56btU9pxZh4gHIpGHhsQvUxWNXnhOQJx/rtSWbnEzWThC9HmElLn84SMXxHS62RycXDj6r0IucvtAuyWzZN5cCYswno7r6mokmdmETbJq2BaQOGmxhKNMum3UGFxoBHls92q9stunXed1XV5v15EJ7rmz3EMiom0WVzmR5H/i8KxJJ4R/q098a7Aa2hagOtrT4NVs7UseiSMYLdSXOcdIRhBR4GheitPzOaKsuX6mXLY1dRZlYY7z+J6yh8baTyy0sqlRLqtA7ztdnUuZ2UbYLvyNOhb4jwMPvpLYjnEvWGFHZe2M13G2PXh4J+JjZq83sl83s7Wb2TZ1rvtLM3mZmv2hmf3s99goze9N67OfN7D+g67/PzN5pZm9Z/73ixoY44PTYbEA+mwY2hSW7GjbKhgPnReqhD7rM4hoDKOXM2gbdx6cHRGxRMM066XsTk/K+saWlwDMnCruu2RELh62IPZlLBDw/xr81TpaRElTZ+YJa3biOiAbNvargdmbHzRoSsfDCfV5vfXc2txYDT2ptJTP+ph1rmws/Wz/H4MJKmxQ8EF3Fe6654FLm/2dyH2YuWyFUWPa+NOt+YtyvEoEYeGjC0BMG82HtPHq5uu0KzewA4LsB/GkA7wbws2b2xlLK2+ialwH4ZgB/qpTyfjP7hPXUhwD8hVLKr5rZHwLwz8zsJ0opv7Oe/4ZSyt+5n/ao6yR87P4ya1B02tKqm7qnvCwgKvXJgGv6m9xBxZUjzzKdAOCAkwVqbyQkyDVOSgAiQPkmcBlD6KayFbSAmDuO3Yqu6HTIssB1jxnnY3p9bNvKCuzkbSxxsSGwufQyUgmBQ1VwfN6rYgWrQCvKXK0Hb0NgndGzqpaJ7knjZfOEhyUJ3KcECWbJiQVbAUridmGCxkDGLjidfDXW9BTBbsrrYnCqz6CuexJmYFaWSCkFhgE4j5s8CsvnVQDeXkp5RynlOQA/AuA1cs1/AuC7SynvB4BSynvW/3+llPKr6+/fAPAeAB//kTYoZO3lF5pmseGjFvfA7kK/7OPisrk8W0GAQUEtKJ0Z8iyYwUXraWI1VIfMlKuoa4xjFSm7zba4TTguloZfq3V52Vxulo7lpv18MovJhQCzcWNJ/xuKPZcBbPGDzMXYscaYWFBn4JlihbyXkHeLJzUaZxTR9zOwMPeELPosJnoj8PiYWATXKuziE8vG+2S0P1QXeLisIU+MPArw+RQAv0Z/v3s9xvJHAPwRM/s/zexnzOzVWoiZvQrAXQD/Lx3+9tUd951mdu+cxqSzOSDOaMW/zWSCHkW02WK3F3jn2EzY6prcOUyhDjNEco3VOhIFxTEgd2/xfXwtH88+aA0I+++bZpVe952rLZ7F0pAPxJrIJgWWgHMA5sQy5PFnd84sa3C0Tm9/z9rMGIezrPMCENhZem1gSU4xvgQCEc94QFZJIw5KvsMpjWPjtuP1PB03aaCUi4Uc1sNxXzVWt+cepXGozWLwnSWLhN7Kbc8mEQOcHjt5XAkHVwBeBuBLALwWwH9vZh/jJ83skwH8IICvLaV+8d8M4LMAfD6AlwD4xqxgM3udmb3ZzN78XHkmr51fbvn4w+xuDWp24zxcFitKZrSxpePHzCL7h8HFFSKz1pbGbfUE0sK8AZl/oKy81epxEOC/VXjGm5XFfeHZLdODFei5DaqoVHqUal6v4vGhCuxz+1ynKeRmC8ozU45sxSGxcrXte8owE3V/lWSNUCgoaYv2UV2HHmfiOjU+xeAyyzohAc0mkacLry8Td2NtW9KXmkFinaiV4zGvW6RLMR+g89jKowCfXwfwafT3p67HWN4N4I2llOtSyjsB/AoWMIKZvQjA/wLgvyyl/IzfUEr5zbLIswD+Fhb3XiOllNeXUl5ZSnnl3emjWtdZB3hczCxPmunX6wfiSrCCRpxth+2qT6cFNEw2EKvBfHeDkIVUygY2DUlAZuJMsQ4WF7ngWLgv7P7SwD9bidksk6nk3v8KhASeCmjnxJ+4LdfH1HINlgT1166ugOtjP06RKUheVb8TZ+C6GnfuXr+S9y8Fq3Xy0ztfN4qTtVqB1amuK7V+T6ewX1Hv22gsi2wSllGn/fe0AW2N7wAox2O0dpLvMf1uhzwR8ijA52cBvMzMPtPM7gL4KgBvlGv+HharB2b2UixuuHes178BwA8osWC1hmDLl/gVAH7hrNbMm0mvM/UuHVNm3tnHn1JDe+WsH3oKauuHmW7q5dYP70QazknQPgM0BR62ergs7ou2j6/J3B9aV1a2xiD4WTAjiggg9br1eLMehBYWhqC/z+z5HgYScXfBFSJbrOv1hcc5EbaomPZc/w7W4NSMkVvWXm/q5t2ZMDUEgmRZQFPG4QAwBby6aQVQM2HLmicG2XObo7UZAC5Z71bkXRnA82TLrYNPKeUI4OsB/ASAfw7gR0spv2hm32pmf2697CcA/LaZvQ3AT2Jhsf02gK8E8G8C+I8TSvUPmdlbAbwVwEsB/LUz27P82LN41nN7M7CuZK4lptSyW44/Pq5DlTe7rqp7o5DFI/dmcQq+7pCAE4OKKhH/v6d0s/G7KT7k5zVOoIDMLLuqUEs7zgwuvRxoblmwxccgw23vKMNmx1RuOynUJkWMx4MkttWAFbdDA+wKgiK9Bat2OOS78nr/3SLXpKZrn6prTAEjVCZxt3Vc0/5xX+getah2J3k6eRny2Itd8mKrF1+9tHzRH3xNCihhhkmB3TpjFKpuVxFNts1uGXD4/J27cea95iOzw9SumSjzEifyurwdDj5LY1C3aQCWLRP0w/XrvazgshOlILNVpomH6zReFOojunXmrnLqtPeHrwW2HG3sKlxjPCkLipRyPU4LEMMzzlylElAPlqe2XycTYiWV62O1eLruvfU+jnEou61cH2P8hhR6vYctmsOhuq5qO4CtLVey0sKfa8YwFJDLxlrb5W2oZffAoYnFyfdIz7nGWA+djOJDHrq86YM/hg8c3/sRD/zjSji4PenMHAPwZG4YAZ7lpsS9JBZD6qbJrK4pX0xYr3eXDQsBSFWWHkcK58nS8bJYOpZf7UcGPGkbxeevQWFedwNsgKPjozN+mfUvRSUAAnRn5k1MjS0ofuZuofACUb7Px0SPiQXbLGxUBVsBrCWrVKYZW3CVni0r+RkElOlGEjZr42eVWGJda1/fdx83LtfLXMfuflxl1S1J48uTwgE8T7YM8DnHf607IiYspJRto/5rILpagMXC0XjELtNLFHfjipPAuq4nyhQ7s+b2xO8/B3i8PazMmFTgf2fuMv7N/VIlrzP0vZiUCz27Sh6p7jkLCpQnFYF1lVhdWoeTRhq3H7eHLQcpK3UxHQjY2JJQt7C3EUBD2dYYjrqrxPJg11fwBjS5/8TiYfeyD8tJgI0zeHTiXYG92BmXIU+mDPBhUcUARIVHH3b90FmpZElBs3gLuUU4HtAAhd8/2fYhAghpdjx2U91ewihyYVfdvGZT4HYwYYD7m7HXOIjtbc1m394njs3w+FTmnVNrGWxsc/E5oUCzCijQqyJVRUz3qLUQFDLHa1YrNyh2ysvWWDPJGqPddSbaRpFuTHKWDAx8jsSctVak39kkxEG105awrGDtY1hf45Mnby+RDPy+Gu85zYHZphO6Zs2Vyw3jNeTJkYsHn/BRauAzm3EpmGQ+bxUFFa+DAYvvDYtNp9DOQJFeTmyWC7v0wmyW3FpOs3ZFfnXVcal4fxMloKyyjLCwJ5lbb6I2efvcVanWhbjeulTk5J4mlidupvB3NqHIXG07fWzAic+T5REWkMq12r8mm8E5sZS17ODKqrT3DgMQaH4riaF+N6lFnZA3uL0SD0qf47xR1cdi0adLLht8qj4XKwZoZtCBmbMe42sbmq//r0FydzN43Cj7aKc4m00/uhofIZDQIHCZCXjIreHuL0pdgmYGXz6yDz24yAQws7hJiFXMwd2i2SXCvep2zJoiAfnurNqfF5WbumTV6vIFkQKSe4tCvZyUpdZbN+NtzMpWoVhmEydha5OBI3nnmZkWJmh8fTJZ01iN39tYYMr6XNvNYzBcbU+nXDb4QFg7QKsgNNi6F7zOLCBVurpBGwNTBmxZORwn2jqyzTS9fLaKvAwHFZ51enaC6pIR91e912NSO7N5/c1AFkDHolXFVkgWy9FnwNdrWzJlSOU0MQ8V72f2PJg4om3pbDXNCyn3JCNNBCDSSY43Sdf+cNtpjVPjcmPLR8dhjvsGpRkU/G+Oken7MMXtSkI5nmk8KbNxNw6L56mTiwefLKgdgs8gdwMrK3GHZR9nYLa5tQPsz9Y12Et18DWFg/dsPQVQIauI/1cAWSrbAEgCw2E2y1RsFo8pzaXdCkJdk9lM1q3A62N7Dsk461iEvrSvdQMWQKswOU7hRXF9vcWy85oslLMocHM6wKAEA1fO+v51y0ICPNrnbFGrK/7MLTYXOEMuLVuBC4jbVfg15DLdXRSbHNcM2kOeThngE2boie95Jj83Kytad5BJXRvCMYTM5eIBeVGKYY0Py+EQZ8MMbmxFsSgZwK0kvs+Vc93KmV4NXexZ3YcWwcgBUVwoAYgyJp8rQI6vnBPHULeMj2Uyk69MRbHOGpqyibJm8UWWHDyncW8UZtYPdud1dhjtuhmnmEcwtXi4fmpTiNewWzYM0rSRGKgPAbizmCfXtcfU3BOmtg8320XIZYOPvuOqNBL/djbzrPcQs2erg2bD1R0mICe/m5k3xyKAyI7rxapKvAfapsx1RUH8EPNhhaJUb78vs8JU8TIw+XmfNcvY11k6ldMABVmmXVebS7L1c6jD687cPGLxZKv+m/VE+pvKq/nSqO7UetsDLr7P2y0urNRtBrQb64W+tHGaQK/OXKt+P7uIk2egVPDadt1bachFyGWDT0HuArB+ULpaK6SIGurperwqNnJzhfUi6z1VlFml/wP9mW5gwO3Ru6dcwe4FkpeKN6uJj3t/2N3HIivut77OUUkpyB82F2iaiSB7bnQ9IK46DWy7UiU6sArXqWtUalsZsDMJ8ZcS86U5ZVuBJwHKpl3+O8u84MPR0OaTtVHaF76ey9kDntqYrfzdzClkPXbjbkOeerls8MnM+/XDDx8GKQ9fN7HcLvev/vKqWFjZlQJcH7u04FS5yTUheK1B8GbmTNfUsg/RmqgB/jkqf/+t8R09zjuW6jjwYlQ+7vUls+OqsNb1H03aHC8js8jqs5rDjL/pV0/ZsWtQFb+miuH2ah8zC1D752WR67Zho80tnXqXXs3vEPW7jh0DD78/bD0C0Dx4wV3XAy7aaTSVxKIMbLdh9VykXDb4qCQK2BWM/p9J9Zdn58WqSeMJHs9ZJV3lbsm6lsxlU7et3qjWNe9XiD1JfzSW08SPVmackwqyGACPQY0HzVugW9bWePoYzjgQAF6JGt4OPlYoiaiMX31mnPql9nVHaa7lVwWcuZM4lqXxQ20zZ5QGQq6y7nvBVUksiGMsN+Y5y2KPEmfhjA5+bX1neotAz3G1rePQkDt0fIZclAzw8Y/C4yPK4lklXWszRaZVmGWu52tcQ2IhWaA7Ux68vsgVcZjhZpYAx5b8b5v6is3daUsnvOLoqvNzrmS4Pw5YDtq6L5C7tpQVxfGxXrwlA3Jy8en6qxuD1XuWE5VTyuIiK6WEBJwpbZitCnnOOuY1zkOTEd6xM6xvOUxxfKgNIe6UBekVULj/DBiSESO15qm8YFGJ6LvaLFDVd37IRcsAHxBoZAHp7FqgdZXxR+2K1Gf5CgosPFveo9FqYFYtGAcGrcOtGAWkpYLojmK2ksYy3M0GtPWwe07dTQ44nh4ncb8EF6cuTMwWoerY9URn+b2Frv63K2Ngs1KurnIrhsvQLAn0bKILMCEuOElFrKBS5Pn2XIUJwLkES4YtD15cmq1r83u0HCqrEXk+qYuw51IecpEywAcgF1Vp4jyuIHqL3pp1IP7RZn5sdT2QLABIyskMNk35jDQjF5AiqS4iUT4VCCuzqSxWipatbUxm3/Vad8O5TOSuo51Fm20JWDI3lbp0tG6Ju+2td9nd4jkBs21r6DbGU2MzWma9SIBI2l2TadIEpbGe54Rgwf3JznXcds34KAj3wN7jTtneRir8LDpxvHpuWDxDVhngwy629eMKH8yqIIyth2ym2JuRu4Lf2fJ4PQGAArzTotTNAckMmGltELApAlpPVF01paCm6XGlwVaEWio9hhy75JYGtuPH1pkrGQHfG2fBPGau9Htrl6itzbPqia6m54kGu82ctMDbfmv9e/XsKdeV6ZYtVm1cZOROy1xvy01TvbdrAa19aEgbmUj8piFI8Lt/jhUzdfLuDRkC4OrmSwAze8kZl82llN/5CNvzaMSBB4j+c3bbrG42BqHG6gE2Je+B6rt3li2Jk5m5A00FGwc5Ufbmbi2Oq3AcKcR2bKM/TwbMiZtEQSsLuofYQIkEBFbazVjO+Wyey6z3nloldo5S0yA+MbT2Mk6kpINVQsBeGV+6C2nt2NS8O42Cr9bUkkm8xo9uAoBZ2G2ZO4vbXyJoplkCdsgVqVW0jkUTk9p5RmEB7pAhO3IW+AD4jfXf3ht1APDpH3GLHrF06azqCqkfOGUIPhwATkjtYKGumFrmvCT3XK2aquCnqcYcQjyFg+uq+FemXJnnDSxqpzqUaKA97kw2djn1FElm7e3RZhnMdXGrtsfdgyc0z0HjWvq80sWoe6AmCjdzDwYQcNDxIQpxux0FT2SD+J7NKKTkGXj0fWzWeZ1Om2uMQXOegTtX8VrvrgKYWv9Nw3fWByECftdDMGSIyLng889LKX9i7wIz+78fQHtuV9idoYorIwewzAJSd662D27qgI0swgsxhdXyCYpeLSVdx+Htc5fIwa0Kazf70nt8psuWyHyKwMbA5/3MxoUAS5UqU59vFLVSVldZZgEs1ZY0iB9pyMRC4/iYTxiqC2ydPDipY9q2a8YpARdy0VY6sp+j8WnIBkJ62OJLMk7eHq+35zKct/KZwh3GXay4nvVSSoHBmrFs8r81Fp/UN0BnyBlyrmb4ogd0zeMlhpy9c64ryNekuHLIZo6efqUXoAY2BZ8BRk94Ru+unVLQxnbmmEk7WwTpipgVXK+NyqrjfuvsuLT9blLauHDsLJk5azyD3Tuc1aApz8ch3CxrUuaSuu78XFDWdG+5Pm4JZzt19VxkMUsBrWOqpJQp3s8sNSIrhHqUKONlZu5ZbVNwO1oEFq5D43CZtTlkyBlyFviUUp55ENc8fmLNTDR1GWQzuYT5o2tOliqm5mNvfOfMdKsz5FbZevs0GWVtjysaBposo0GzHqhsWQ5Op7g5HDOgJtvo1l5e4mIqZAk165t0G/HM5UZgmsY4yOqsLh+KSwCIKWrqOAuNHNiIGl6Hx93YlZYF6h2wxBIKkijw7ntlsf2pdZKlYgLgm8Q1hAX/X0FKRUkETM3m4z6mMilodlMdMuQMuRF8zOwvmdkPmNlXmdn/bGb/6W007NZEgUVn/zob1hgJxToYFCorrZdzjetotkKm+I/L6VSZb2FF/CkCAGfgrgtXOf8ag6HGo+ayXcMuPe4rrdsJ/ee2z6TQe33mcfZZ4kcbDgAAIABJREFUPSvKjC3XkARyBqG7wcK6Ih8TBQi1WjSwnzDTQpsyIA1urtOaJVpYlFwHu/AUHHoMtfVZpcQO7pf3qbfWjC0Xp+t7HGmmyQq5Qbldw+IZ8nzlHMvnywB8DYCvLqX8uwA+7+E26RaliALMhD9Odl91lNZS7P6WwGFRZSbZTPJw6PvVeX2PlFFOK5BpP11pBjrttJIfPIB92IDmdGqTonIMaE6oudzOm2JoREdfmtVx57CFsCboTCnGbsH4Peqe5IwWIhvd3eJMf+9dSYDHraMQm5o62QRmIRgk1nIt38ddFsTWITJqt5Ig+BlkEwNJU2SJtXPjsxwy5Aw5B3x+uyxv/vesfz/7ENtzu3LDpC11Y/CHrywnP+/HkllxUGr1g6d4CrBmRtgCyQAWqyeZeXL7yuomCyw7toC8bHe1cRnVny/ll3mhivdyh6UuSXmtQj0yA68B7NZC5BX/9V6icTdsMIgbkuujHV7Z2gCSGA+z3TpKtmsJ+32JVGICi5IJuO3cpoyuPsd3JK+0AzxcVxLPWtqb5NQbwDPkAck54PPXAaCU8uPr33/34TXnEchekN1lb6YLBJZTQ9VmC0d86ltZKxCx5bLHWNO2TxbWVgTigUUK77JWZ4dVpxTtdd1OLfemsSJprhdASBfMru0MwOL9TNxsavmkVpBaN7w9wI5VE9qfERhuGAulIKfrhQhMQn+BGHvhdvRcgC58bRaX7L3PDDxM5Lih7iFDno/cCD6llF8CADN76fr3Tz3sRj0SEfdQ4awGLJ01HEEy14grPA5Qc1xlmraYih/zKok6G1hN7nefFndZKWVZ50NuwUC/rYQDo/aQr9/BxttB97Byy5hn7XgmlhJTnGdxbSXSKOl1bPdymaW7dWYTAJrlZ7GSbHsCbke9R11X5NrTMeu6CLUO7VNmcfbcctQHBbFwviFP0MTF//edVhWohwx5AHIfizDwvQ+tFY9Sklld9XkzQEh8oGECqdXDbrqGUCBuDCcX8FqTypyToDmVvy3qI3eZlu1tlVxvNS7AbrD1unI85opmjkDEbLTdYLlaN+xu67m21ALxY3NcQR/W2WTSW1y7RzSZywaerMgVwLIyEAGDASf0YyKXosfsdPw6oLwAw44LLWS82N7bOlZZrrzQD197dBiAM+Shyf2Az/n+lidRyP1RlRsrJKYpa6ynzO2Mlq0av59YTVXcuqoZsl3ZbYw384wH/veBYjhmYCYVQHElIFkkeGhT9btL6/q4rF0Ri29zvwjhgaybxa3k+dFo0SErfx47BiRvq2QJD1TrpD3qpgpEDo7DMejxAkkeI9mmIezLNJcGAANwAAFguL36XjTZE2TX0tQtJpZXIJbMrWUaCDFZ2iT+n/t0EyV7yJAHKPcDPk/nFIg/VJcd106gxFKsJ/1YnWWVxDOaNkyGsMaHrR8NKDvFtrp+SguWqZJZgecks/rTCXjumtK0ZDGBOSj6YB0CkuJl2srn/qtLUcdFqeq13bkibNyiTORg5ZvN3jn/Hm8Ux4QEJ21IXYWZdN72LOaStXe9HsgJCKmrUSU80ymOA7sbNebIbROSTMNwGzLkIcuwfBQcbgqqKltqj72ksYIsUO0z3aqQqTxPt8OpVszCmp+tmKUc3oZhqXNT+NXiYXA9Hhfg8eB4sjB0aXP7qmzxpFMFnWYsuAw+pqvkhcFVLSrNkMCkg96zImuirEldK2CTa6oCD7uXpq3cQIjg8XDQFZcWt7vrFkvdmf09eXSiouSKMA46+XC6fYfarRYPuzOHDHnYcj/g880PrRWPUhLl0gSHPSC/4/NPYx5mLejovWZbzIfv8/+nabOCVLmzq80Vh8cDmFxgyS6pc1mA5/pYg8sxMSWVMbeU5BpzYQbXLFbCCpRVFHiwgWYGzME607rWNqar8GWhqse3GsvDy3f6trj20jHj+rP1LxnAiNW4dXADL54Y1LrUgtqzkngM/HfZmIrNuxfch/kuukOGPEw5G3xKKb/wMBvyaGTfPRI+SHfnyAzdrYgwA83iDSJV0TiocBbrSiqYIvWZj3XoxU3MYLV4wIr3uesFeILFR5Rsiks1gNNYc0sa/zC7riAT4ySNkLuq6+as9fQtsK2B0WKrz0USdFaLhqzX1I22w8RjaVh2oe1b/KtL3dbx2QGe7lorL6M3BlLO0qB5WDtDHpncj+UDM3ulmb3BzH7OzH7ezN5qZj//sBp3K8KzV/rog6JI1krwjD3MqFnRnTqKi+vje6/I9eYg5Eotc2utolYIA6ORZVVO8wY6si7pfim1NeDPKV5kH5wQc2B2WzIem7VE7LuMoCFt2IgXa93Xx3UsaMZP8Zw6XlketkR5e9szMA7lZa7FVZyM0VC6yfUYWHtMZEi2Msip7SWyKjtglbV/yJBHIeduqeDyQwC+AcBbAZyx4OXJkVLKstFXpuySVeK7ay802M2KTWMWrGxdaop+A46nBZT8t8+kKXhfrq+XMpnFtu7vAwDleEJdw6MKT60ZoJ0tI1o0u/GJnuWnqWzUZdlsKdC6+Ko46Dt5Qtb2lOvjYsn5xm17+9Qo/VuFrJKG1j1ZP/MDNlJGQ91XgEYydmXNKhG23UgsSG/DoX1Htb6wdmkAz5BHLPcLPr9VSnnjQ2nJIxGaDTPjCaQMesyfnjJz8Z1GJ/rge0ktOZ7jsRIvyrfCPtE6nZVabXfuAMdjjU/VmMjVYVlsCixrdjzBJoOh9xloXT7eji7bKrqSdhdPellctipz3y+nWi/RXaTrZsIQ6sxe97JxYgEsgH/aX74+TA5Ooc+hLr/XJxeTEx1OsDtXFQhrXRO1I6NUC4Oytn09VwrtUnuTJM91uNiGPC5yv+DzLWb2NwH8Y1COt1LKk5lypyCdhVZxhX04ANekMDNGU08Z7LGeygxPdVMmg7niZEVXygY8TkCY54Xt5iwu2ja7ts2D6L61AcdNpL03r75XIkJcWNosrnUFyju7StZmtiIa2jdyJdko49r2Q7g33M/l8+JKtnr2FHmZI8OugpEocwHYdIEmu3EzK8iF3aHsVlwzTbM1tGd5qQzgGfI4yf2Cz9cC+CwAd7C53Qqegnxv1XWhwWeKU6TEAnGV1HuAQMPNNlVblOgBxRXpYYJ5XYdpASNgrQcrk40AytlkaxtsmhaL53hc/jFLT1e9Ay0T7foUYjgZfZhpy7q2JWwrLvGdIvGvoMh3JgApIKr7ch1rH+dyfVx2lp0sbGveuAT5OaiwhVKBP4kV8SJRoeyXddKQxnq4n2wJUeLU2g7qXxNX64xL7VvGshsy5DGQ+wWfzy+l/NGH0pJHIYbcFQM0ZANd4d6wllyh+Mr4a4lZ+D1KUtguWkgBV7SyXhWvLj71W6+WY+V42ggFcwEOaBRiLE7jDZ21PKvV1AABu+ZmWqyZ7f+CxEpQRU6Zp5uZP5JYFFuQ2g+mXBNxoYLjas0GK1afjQOB2WbJsMWleeTUZekThDoAAjyThW27Qx+ZVblew8SSsFgYWPuzbXmRUsWHDHmM5L7YbgB+2sxe/lBa8qikdDbxSmaLN37MDi48e53EnZW5Wu5cNRRrt4BqPKiuOSJls7rhyjwvpINnabcLdgNl+c2U+ACvbou/8KxZx4jP9QgBXGYDPMyCA252RSVtTQFR2sbXBuszm3B4+1ag8fVP1RrMgEfLqcF9yvgQjosFynEwZU76dWS1ptR3AuxwbsiQx1ju1/L5QgBvMbN3Yon5GIBSSvncB96y2xK1QrJAuwal1c2mgeS59Nd9sAJzd88KPOXuHdhz19u1VRHNGzi5C2gpZIn3fPiZnDG2k0BSwSQoLmJOdZU7SAlnrsdsi4laQAy4B8aa1JE3PiFaZq7Rk4wzW0NA/qxlz6DKVttrm1rB83ZvOO4LXYXlWJ7bFpo2cbmEAJK68ZTKPWTIYy73Cz6vfiiteMRSlahmAKZYQAhas+jsPSkbQAQnLs8V8J0rr2hhsx0Wa8euj5H9BqsEhPLssyE1Tto+V3Ks8FPlvcSS2EXIbrlyOi0W2qkzu/a6KVN11+KRZKKcaUDdT40bisY1uOU8xgIEgkVwS7kby5ljK1MwtA8t4FYyBiWRNVB7hFpf0w0lElx/WeyK+hafTwKS07Zea8iQJ03u1+32rQA+UEp5VynlXQB+F8C3PPhm3a4EYOm4cqp744yElVVR8UyVXV8yEy53DsDB1n/TZuEAqBkNmOH07HMoH/rwEt/hPmRt0mB4lmhyXhaL6kp4tnDqfkP1b5nl8+/Vckhn4pxah8GCx0XjRARIXVnba1dXK0lArD5fWCuTgMY9SZm5HdwCS+80N2t9avkEPLZOIhpqOFt4STyuB7Y9VtwAniFPqtwv+HxuKeV3/I9SyvsB/IkH26RblILoMsmC40CrxCheURXivM2MzVloXI4ssKwAZYYyTShX0wJCwZqwxQLi+37/Q0tsR2jFwcICosXDTLcdckW2ml5FSQAANsYXWVWpxcPCwHwD6Oi5UD6f4+C9bHUQ2sBtzLIuaJ47lyI52tjVOG950qpke0JR/TomgUDQA545jvOQIU+q3C/4TGb2sf6Hmb0E9++6e3zEv2lSEE0aFABNYlGK9ZztZ19dbNWVxWlzrqYltuBK5s7VokivCIyefQ7lg7+/5GXzNq/CWQ1qXW4Flc26ULozK/1GcXqz1/p761maQHoWL5N7PNN0yCjdSXfDtG+2IFPmnVo2/HyU1ajjtwJosFz8nG7oVwcnste670IWI6TtDLb4IFmFiXXZe0ZDhjyJcr/A8R0A3mRm/9P6978P4NsfbJNuU6JFk/rqdbGgxh044N4TYsHVv2sTDKd7B1gB7DSjXE1LXOXOFawU2HPPoHzoGeD6uT4RYp5hd64apRbchFR3FuBXiYtp5zzTg1s8Dti+bof7DbSK19ubpC2q92XuJFbG3qYwllvwvbmHgcnHYwWssNU4Z3hW4kBWprwPjXibOLuEMNi4bi8nPB+ibo/dRYc8LXJf4FNK+QEzezOAL1sP/XullLc9+Gbdoqg7pwcmsg1AdT/ptR12Wy0/rCtZWGzzvQNQgMOzWFxvdw327DXsfR9E+eAHm3q5nkVRCTCwFUFuQm+vA0U5Hrd8cORqYjpwyC9G1ginIwp/90Tbm615AYKFkqbV4cWWnXpKKVvsR58PUeHNDhGEyH1ZTqfa764LVtt+ihZQsw7If7t7sFpbsgBXmZJuWY1N3oY8RXLfLrMVbJ5swOnJNMXZO++4GRTIDNy52iwI8uXvWkPkdmI31vULDyhmuPc7BcAVrn7nw7D3fWCJ76zXVNBgy4WBTtlmepytCV6VL4ot7s+TuxUVALtxCp71Q4LpPA5ybVj8qtR0blNi9TQpfLj9rvTnsmv5dcGNGXmZFcqxosqsS1x2/jyIZr2UsbxXwUIaVs6Qp1Ru3YFsZt9rZu8xs3R/IDP7D23bruGnzezz6Ny/WI+/ZbXA/PhLzOwfmdmvrv9/bFZ2K4kLrRa6UYYZSJj5FRSbZyHO/P66dgTYrIiPuodnPuaA51444XTvgKv3/T7wr967AY+K1BsIDRnVOoulcOaByYKyrgwtImLU+IO1a164XbX8Hep5c07iIT6GAZQSa1IZhZyMk91aG7FjipYQx4A48J8w1NKYjfS1ieW52NTe48evieotOduGDHna5VFEL78P++uF3gng3yqlfA6AbwPwejn/paWUV5RSXknHvgnAPy6lvAxL0tNvOrs1qyKrwW9hbWULNZuZN7OnstmqMsBI5hd9NN7/cgAFeMGv/Bbwm+9ZSAWi1FjpLyAhyozqqde40pVsAhkDrJxO7cwdiEytm9hw6pISxdu1mLzNCt490E7uDf3WOhhwNWbiz5po0o277xzrIwOPEM+hd0PWk9V79d0ZVs+Qp1huHXxKKf8EwPt2zv/0SuEGgJ8B8KlnFPsaAN+//v5+AF9xXmtiDKQHGgA2C8il41Kr586hCR8OePeXvRDzVcFL/49fR3n/B7rkhYZ6nLVh7UOw4nh9y9qWunYlidNkcSxfQ6RrUEpJtrHm/mpQPWOoubtMXJE1HsIuOKVr+3lN1cPtZrBxoGG3oxdFZJM0xqPAzv2ck7gbtTF1S7oM4BlyoXJf4GNm329mH0N/f6yZfe+Db1aVrwPw9+nvAuAfmtk/M7PX0fFPLKX85vr7/wPwib0Czex1ZvZmM3vzc+WZTdEBDXtpu6nDduLZvR5Xy0HlcMCz//ofxoc/58P4zB9/DuUDvxctC7UOXOH30qhk2RPcFbdKyCtGwqlkUmHFKEoygCKDgIBRN82OusvkeKUfszVK5S77AZ3q36FPChxuBWZZKqQ/4X6/FxK38rHIrk/K1muqC3fEdoZcoNwv4aBZZGpmD2WRqZl9KRbw+WI6/MWllF83s08A8I/M7JdWS6pKKaWYWfdLLqW8Hqsr78VXH1+ahX9AVH40Sw4zdzkndcSg9yEqLnvBR+P6D38S3vfZ9/CCtwD33vUbKOuMvByPsBnxXnI/BeZZqHRuLZ5enILjRkon7gBN7RP93Xac6hIl25AlMhDgfs3b2qMAplxmQkdO3WRZAD+hSKduU783Y+ZRP7vridbrQxqhvfjgkCEXIvfrdruVRaZm9rkA/iaA15RSftuPl1J+ff3/PQDeAOBV66l/ZWafvN77yQDec3ZlvC6EFQ2QuNZEYWR51ERxVVrzqnTtY1+M68/8JDz34ru49/4ZL3rXaUmFvyqtMKt26aWrkazINykzV8x1Bj53UgmxJLPyoKzZ3US56poxkPFogIrroXGtdfTSA4m7s+um8/s0pQ2DL1kyanGyO7NZrMt1ZO9OEp8Lz2pYPUMuUO4XfL4DwM+Y2beZ2V8D8NMA/tsH2SAz+3Qsm9N9dSnlV+j4HzCzF/pvAH8GgDPm3gjga9bfXwPgx86ucC+Oo4FhYIshsIvIpTeTP51gd+8AH/9xOL30RUsxz864+8EZ9z6wblaW3JvFX2o71BXY3Dy1ihaJVXbT7LvjMttzoQWq8Vr3bmxovV+BsFcHW2GNNbr2qwKWEkjWiUC0guYwJqFNp7mCtZlYMNwXtY56cT5xhQ4ZcqnykSwyLXgei0zN7IcBfAmAl5rZu7EkJr2zlv89AP4qgI8D8DfWD/a4Mts+EcAb1mNXAP52KeUfrMX+1wB+1My+DsC7AHzlmT3afiqg8PoUX/ty56p1z633+joUDcoDgL3go1Fe/MIlXc4MWCk4PHPEdJpRzHIWmRIHgBXIklgGi7Rdc481VgjfymDHrj6z5v+gvHn9C0uNU4k1kIBiCMyvx6ui33FtZuCZLu6sN84RuCjgHzI/VDDZWGwBQPU98P5zu3sy8rINGXJ/4GNmH4WFJv1vAJgB3DWzd5RSnjm3jFLKa284/xcB/MXk+DsAfF57B7C65r783DZsIjNXoLUY0vhIdL2lK/HnsqTIecELUO7d8YbCSlm2q54mlOO8ZDRQEaDounm8CT0Lpkd13pM9dpf2z91lunUzrFH6wd3m8TLQOpsELEMchQG1I3UcevEkvS5jmjWZF7YxDH1nd6Mu2N1ltw0X25AhwP273X4AwB8D8N8B+C4ALwfwgw+6Ubcn0cXSnM2Uvq6ryQBpMuDevQg8AGAGHGfYqcCeOwKT4fD7zy1uNwnkN2tiDsnCVr/eE18m7Ky6ToZdX9TeAFxTrHOjFMeFp7zoNCxYzQL93hcN0ivYqDCDTCnvybWV+Zax4hKp1OobGGqpSDyuF3e673KHDLkguV+ywB8vpfA22j9pZk92qp2eCyujFicsJ0CYTgfAPuoecHUFXB3qdtjl3gE4nmCTLZA3AfbsCU0mY60TicXSrJqftuMcU+gsbg0uwtXN5Ay7GMx3d1kE5rQ8bWMWS8tIBvy33J+5AWu7uE0Z85DL1N/eD3JpBhcn0doDQLF1JPedk6x1yJAhm9zv1/JzZvaF/oeZfQGAN+9c/5iLpRYP0LEIgHaWz+66u3dgL/joRRGuO5FinlGuDkvWglIW6weAPXuEzTPsOKMcj63F49KsC0nIB14/M63UKpslZsPMs6RPW5xmyhe4Zu6xrP0iDWFC4z8EntlanWacFMSExBCAhxatbnn8EO+pcb64tUIth9eEOTuRQSmzhIcMGdLI/Vo+fxLAT5vZv1z//nQAv2xmbwVQSimf+0Bbd1vCs2v/W6SUslkHQJyNHw6LtTNN20x5daWVe3dgz10vAAQs1s9VLXTZEvskCtjr90SYa5t6NO8alHcGFucw23FTsYsqJRLo2p+JFH6PBKCz/wy4dd8h/k2MtlR40WmoPHG1JXEkFx5Ltdx4a4UQw2LAXMejklEoW0S61mjIkCFB7hd89nKyPdnSm4kDrSJhRXT3DuzOHZoRl4WRZra43Y6nBVwcfOYZKBNwmJbYz/WxRp6C0loVfFCMWTZqdvndADzR6ogkAd6zp2uFebs65afEDAKtBuDUUktAojnmNGqldnN93j8GWAUeerZq2S2U6hMKVoYjTwKS+NNYLDpkyP3L/VKt3/WwGvLIhJWJWhNON+ZN5hx41kSk5taOp0rxmflh/T2X5bfZAjRXvk4IwHFTaKkC07gJJTtt4izMOutkXqj96okCSmY5Ea28e00Sa6n0473N0DLXWpMs1cJeQqllpdkeCCwD0LDVhw0oa/0OciEOJmSM3hgMGTJkV86K+ZjZzz2Iax5LcYshoxYX2bhsBR67d3cDHhcHoLmdGQOAHU8oKwHBro8L8JSyxoHyzAAAmlm5xzXC8T2qcG3fvsvMt4kI62c4FsRMNy2TJXNdcnsJQJt7uBi26AIg7qzhUWuGr+sAVePeY5ejsgfFRdmM05AhQ86Wcy2fzzazn985bwBe/ADac/uSzaBdOEh/mBYGG6/vcEvH1hhP3R/GFR+520pZXHBOODieUAK7KrrCzpIdpRcso1VxNm69wAJb3G5dVxvVl11Txyhzm4F2Ds1SEiXrqmr7PUMBHQ9tysbD+5Yx7pLrFUDSMaCFuqHMATxDhjwvORd8PuuMa+5Tcz4mklkMEv+wwwTcuxduq1bPNMUMBX7cgWYuwMEC081ddHaaN0tJlXLH5dWcT5RqUQLDZMA1LVzVuI1Sl9f7mD4cNnnT+hIXYDnNy1bWHoTn7RsyVyfTrzOAnAzl+rix1HhH0SnW3UgWz/NTDHTZfZMtufem5LoBPEOGPG85C3yeyliPS0blXV0uVYHevdNJMTMBx2MElqWQCDQuZgsoORsOSEkB6RbZexu5sfWw0n+bhaDABqoUkE/JBRwfAfbTxXQAspcWJ7S3s8A0ZNBe+1COx+XWZA8ibXcAit46Lq1Ly3EhkBvEgiFDHpyMVXFAjG2Q2N07wN0lQ4Er4FLKYvUcDhvwuCjQuJxW19zMlo7Eh5AAj1sCmtzUxcFFrIeqUJ14MJcAqk1ZU7KuxtuULZ7suZuy2JUfczeYJmLlY5ZncdhYcVO9phQpq7NeKcSgmB6dWTIAgTOacR0yZMiDkwE+iRK1qyvgzt0IIKvyqey200IYKBngOMg4oYDr8hl9srFbE7zurTvye4KrMLmGju+tEQrWnK7eX4911914f5XSnK2bykgVU96ubOGoW1O9DfVKEUtOQYQtGLbsOI6k/ejQyocMGfKRyQAfIK5DuXd3IRaUBTxiNoBN4ZV5W1BYrQq1ZpoZfInXKKPM25LRhyHMt2RztQqQXm5pAc7LjIsqT9t1mgF7PdZzOS3WmlCSBVACcCnAsPXiil7p2MTU8wWgta3qWuR7FEiy/H1sJXob9mJtQ4YMeSByVszHzN64d76U8uceTHNuW+LM2ynUi+JerJQtdkKkAWK1leNpdZWRa6guSCwb4+0057GheW6VtivhjIQApMAT1iX1UgOpkDLXFf/13jXewkSF6ooTCnV1GzoY3LGNhtJpuwf09V4lR7BVWPvaW/ck7LzAxJM+NhRwlgE6Q4Y8NDmX7fZFAH4NwA8D+KcAdjTaEyg+663As6VlqQrNgaOQ8i00U18BpxyPi2vOQaquS5kDi245tkPb1dm8n9csB731Oxq7KVGBs2QMrt6i166SnyxNrLm766eXeTotmQQ6G+Bx+5ukpr5DrPYhW/ODGOsKzD/efG7IkCEPXc51u30SgP8CwB8H8NcB/GkA7y2l/FQp5aceVuMevqzAwS611d0GoFo8hYGH3FtVETvwMCvMy2CmGR9X6ZAM6jG2hs6dkUuAv1kjk8Q96jWUQDONjQCou4KquDvstGTtDiQKzkGHFaw1XQ4I/DIw1PZnyWE5R1yyTqlX3rB2hgy5HTkLfEopp1LKPyilfA2ALwTwdgD/u5l9/UNt3cMWwwY6HrOo+c/WQPw8L5ZMkQ3eRFln7LHNTScKeo82DQRm1lZm8jsJhAcLh9hu4d4kNhPcWgmd2YP8YeFqrx8MSlNCG/c2eB1ZO30csv4DMZ6VuSc54zbFozb6uLT9pmcyZMiQBypn53Yzs3sA/h0ArwXwGVg2lHvDw2nWLQuzoizO6u3qUAGJZ+O+h0sTp/FrPG7BSSkz0SzNc9w+u5sZwOv0dlFsRrNLh/hGw6aLMaKURXY8LgCRuPJq2yUGkwoH9TkDdJk3q9HjSrpOJwOm5FzIO+dtI0JFWRf2NjuYDhky5FblXMLBD2Bxuf2vAP6rUsovPNRW3aZ4nGfeUt8AWNxNV3F42LqpqfQp5UudVa8g4Ay5cjwtZAYnGDgzbqVrLwoS0fJYLYsABrqmB9gUMAFcZW/JsS1hZqQgp6v83W21rlFq4jkMHkqAOG2pfGqZ7t5UKzCxxDJQa8CIx2BPiCodrLFz7x8yZMhDkXNjPv8RgJcB+CsA3mRmv7v++z0z+92H17xbEgceWbSYutTEFcSKMoATM+M8owHTsMm9V8vN1rwkiz6reAqgU8L2Egp3GrDPlC8H+VlZ62LNOQGDpMxSymY1lUjm6K5D8m27NUnqGQsTrD1XAAAaoElEQVQ9TcfTAW0F4l6KoCFDhtyunJtep2plM/uE9dh7HlajblV84SfQuItsJRkEheYB8/VvO0zR8lEryGNGvuj0cIBmNmhAgOMptPrfU8wAiHESdyMBRE7YSUHDvzMAovpNxqbJD7fXj8miC8zB5oBmrLm86hLLCAhrOWkaIq6HQXTNCde9fsiQIbcuZy8yNbNvMbPfAvBLAH7JzH7LzP7qw2vaLYuma3Hl5dbF8RiBh69ZrYAurdgXl5rdzHrjADoz35g5ZlvuubDlQ9Iul+5sf7K4yHQF2MzNVTQrw0TAtCr8jBEXruvFcPba7+OgxAGy6pq615jdQsU+dGnmQ4YMeTRyFviY2X8O4IsBvKqU8pJSyksAfAGAP2Vm/9nDbOBDF6ZWs0vIZZ63PGJJIszgmmtW89M2AIdDZMEBwDTVTAlbfQSCNR61XR92LKU2NiLutuX+BIA4zuTi9VPwv57KqM1eF28p7eKAxm5Ad0Vm7RHiRbhml7hBYJlZbkOGDHms5FzL56sBvLaU8k4/UEp5B5ZY0F94GA27NaluLYt/r8cKZyBgoHKhgHZdlLq68jzX2Oa2m5fynBCg2Q14LQ8teHUlXMthxXo6bS63rHs7cSAA0XI6xzLQNTFyTwpivUwNvb+zstjK2WsXMIBnyJAnQM4FnzullPfqwVLKbwG482CbdJtiG72a3W7TtsanigMPuaIa5TZt6XgctGpOuBV4ltn5FOi/ADbg4bxm2Rodss7K8RgZepnwglBlkfUWcBKjjtcNZcy2OjxJYtLar97uqnyNjkVyviF3TDEhaiktGA4ZMuTxlHPB57nnee7JEHG7MfXY16FUIaXdJMyUVC6hisrgsroGCMBGYjgcNuCRhZO62h/AAl4rkDVxFm8bWzvaB82HxmXPJYxBL4VPk8yU1/F4nXRPbae7MKWMem5H0vFd3ZDD0hky5MmRcxeZfl6HUm0APuoBtueWpQQ3ml1dVVdZvaLQNcz8YnaZxiKcBYdSXXcVeLBZCcU3luOgfJad+XnM5htFrMBIMRJOFOp1hkWfUg73oYoz1K6P23V3rlpXn8d6TqfcmlKrKrN6TrIl+LB2hgx54uRcqnU/qPA0iLpteLFjpQcT4YBn575Q1BW5ExA8+4EQELafaxxnmlA0u0G2sl9W9BdOWgr04ygZeDnA8UJUjgMpq43jWlkd/pssurBAl/ulJAqXbE3PTjzJqdY28oAOGfJEytjPh+MU6tZylxgQZuchEE6upGAJlG3nUxYHNLMFeIJoHIjv8TYks/yQb02FF1syIK3usMaCmcndKOUws6+Oge5UOsvOp1wHZw0XKnsaR9KsDVRH7duQIUOeSBng46CSrUGpiS/9mhK3RJAtD6o7iN1yJCEgbmIVKUNL3VsSbwnSyzIg1lL9F7aclnhMIpo+KICd7qkjW0Y07rudbR9CnWx9yXV13c6QIUOeWLlw8NlR6OEy37tnS2cTFfymDHtKPJACQhqdndl7wgLjmFRjoXBfZrKWWDwzQrWCpghw2r6edREyLAhrjijWKUhom4QJt43V1LX2hgwZ8mTLhYPPKkWsAV7Pw7N7ygAQhFfXkyJW6q+DBdO499atZGw08ywJvpX0HlAo+4xFQWNvHRC1qSmDjgfmGmU92CVN8HUa41Gm4ZAhQ54auXDwEap0/V1iLAhY1+qUlnDgwi4ut06aoPrGeFsuI2W/t9ZFsgwAyQJMrt/L0Z05E9pzF3iorCZZJxMV9LqMlDGXzVJiZh+XOaybIUMuSi4cfEgUaFxqTEOUY40BTXSbzNTZveVliNss1NFjgvG1QBNXCcIgpHnoKO6jWyQ0GbwzQFSrRuWmvG2dBaoNw1DPDRky5KmTAT6ZaK43j/fwWhTKNg1gcZMdj5vVtJ7jIL3GawCsi0WnzTLAfvDf6wIQLaIsxY7EgLLFqADahKgENt2EnGq9aCqdEFci0OKtFNRtN7Y9GDLkYmSAjxIBspl5YHcVci3dEM+Y2rjPVu26uZn1LZDuan65NrU4KItAKO9wiICp7jxJQloBk/LXpRYRb3LnC2e9HUAEbLUIadvtATpDhlyGXDb4FMQ4zFzI6ikb2NTrZRW+Z092VheTFFw0FqPHO66sJt8a/69kAUqXE8DFm60LV9e61OKpINNjmO3RvblPPfda7951/PYSpA4ZMuTpkssGH0NU1G7NzOQ6A12zbikdtlc4LWt6tnUphxhf8aKFDddfmzP3gScDBKI822GKRINsF9A0ZxwtnnVAnbZzgXCglo2OkdTRvQbJmAwZMuRi5LLBB4hxCGCN7zDwuOI9tUpXrSImHGQ5ylipA3VLhN3FozuK2XzxK6/pUcLCZBu5QBhti0uQ3F1ssbgrzCndSmRgN5v2szaQ2seLedfrhottyJDLlcsGn4IYh+gF+udTQ5Ouu4tqqh0HAFe2EttoduBstgmgjdxq/R0XWMZI4zrdQksAaSnXrbWppU9Thu8APJnrTd1sSj4gMkW3P0OGDLkouWzw4bQ1mrnahdlrpUQGHCv3nvgMX9lfzPjiPXxq23YejVpEWeqa0AWxRuZkd1LdxfVcgFCyQ2WuSXkuA3iGDBmCSwcfYHWHzZtlw9RlVuYc7/H7dnKTYd6sCKZXV/Yb541ThSwKPAOPrgjLLdC3KZnoUs+0udWk3hu33waihcdS5i1+RG0YwDNkyBCXAT4zxWFqZgOLzDegdTt5jKceS+I/DhS+lgeI2xnw9avw+p8mkae0pdmILcsQLaw4Zbht235PAUiyLazjje2rUzK2n+R/GzJkyBBggI+w2iSm48fY9eagpBaG7yxay4rBe896DSB3k6n1ocBH1Gy3TKpkizy9G0QqCHEc+r/W7dtI8L3ARt/meBaRJ6qlJFkTupkQhgwZcvEywCfZ2rker4tLOfi/Wi6+WZoTD1x68RfJ1RbrmQL7q25DgBUAPB+aK/1VqrL3XUR1F1SASAVW60hdalpuRglPCBRuoRm7JIe1M2TIkBvkwsFHSAZOPEjdR3xcAMYzFbhlUMg6KmLt6I6d4lLT/W90mwI/n232FoSBamXQNal9OLbEC16TBaxaR2HyhZc1QGfIkCFnyq2Dj5l9r5m9x8x+oXP+xWb242b2/5jZL5rZ167Hv9TM3kL/njGzr1jPfZ+ZvZPOveI+GpRTrMOaHQIKVvocP/EFnnNifWi8KMv8PFnYuXOpdiMJLAeS/XGy9DUr8ASwmcXaIaDRbRvqeal76/cpWjouA3SGDBlypjwKy+f7ALx65/xfBvC2UsrnAfgSAN9hZndLKT9ZSnlFKeUVAL4MwIcA/EO67xv8fCnlLWe3pre2x4+fKPbDwiDj7i+JmaDMsKurZnFnRon2BZ274OKSLfb0a5Slt7LZdvPA+d/qUuPfHUZeuH/IkCFDzpRbB59Syj8B8L69SwC80BYt/AfXa49yzZ8H8PdLKR96II3idTxAVKSHKV/7w8qa88FxmZqrjAkIFVQ29xVbJhz3qaIAwVaUl7u6vVKrJ6FMN6CU5WZTsMxYdUOGDBlyH/I4xny+C8BnA/gNAG8F8FdKabTcVwH4YTn27Wb282b2nWZ2r1e4mb3OzN5sZm9+bv5wy3brrd9RgJlWF5yv/1ELalXQIX9Ztu1AIhV4nEjg9/eSfmbpayAU7SxVj6bC8f+VMccsPY5ZDWtnyJAhz1MeR/D5swDeAuAPAXgFgO8ysxf5STP7ZACfA+An6J5vBvBZAD4fwEsAfGOv8FLK60spryylvPKufXQ8qfvasHXC/6ulpLToEBeSHT8DPXuzWAK7za9XBluWxkYZaHO762m2f8/u9tgsHBPa25Z7yJAhQ+5DHkfw+VoAf7cs8nYA78QCLC5fCeANpZRrP1BK+c31+mcB/C0ArzqrJgPqtglKFHDCge7Hw1aOJAqt2bAlh1tDv3ZXm4KCu8o8OwDHilTxa461bEuGbmaCudK0d7e+1hQ+p1NO5x4yZMiQ+5THEXz+JYAvBwAz+0QAfxTAO+j8ayEut9Uawhon+goAKZMulTlZo9PJKLCc28l95m4pDvBzlgOgjc/wMVDGgQNZORQ76m5DoO5CzRdHQNbsm7MDYrVfvT4PGTJkyPOQq9uu0Mx+GAuL7aVm9m4A3wLgDgCUUr4HwLcB+D4zeysW2+QbSynvXe/9DACfBuCnpNgfMrOPX69/C4C/dHaDshhPdX0dgONzmyLnLQzUUuiVy6l1uOxEAhWawYvrmmeUadoWgnIsxyYAp22rBY0XsdWkx4AKQs0uqgN0hgwZ8oDl1sGnlPLaG87/BoA/0zn3LwB8SnL8yz6iRoUUOhTXmU/7AAMsADWfWmsJyK2dQsdCHChxZ2mM53Ta6NiZdeJlMqAqzVvS+DT1+RqeG/YSGjJkyJCPRB5Ht9vtSYFQl5OsA6qEnSTgCj7bxybUIdkS1BVGdaWJOf3vMqOswNDQo1kUeCbpi14b2joPF9uQIUNuRS4bfFwXu9VTAUUAosxx0zigZbX5sfnUV9xKrSYrpGG56fVrrKZxidW2JNkGNLbD53ptHKAzZMiQW5DLBh+XXoodZ7PVRZVk7YTUOIftes0TZ4llFerecrDVtT1eFrcDqJZPQ2jw+lwydpxfm21Cp665IUOGDHnIctngU5CkzaG0OnXhZQecZA+cvI6OQrdpo3NrBgJ1zU20xTZvzZC48mo+uCzLtW8k16tnyJAhQ25JLht8DKgZqLMYju4yyhmmJ7FwunUkrDEj64nBQrZM0PvssG0GZ57IVF1zbj3pGqSbFqIOGTJkyC3KZYOP6l+mRXvsh2NAGuhX15puo+BiE3A8ri68Nqfb1p5+2h1muDUxHxZe38MgI3sG7ZYxZMiQIQ9ZLht8gI1oAGxrefauZXHgcdDpXe8sMs8Fp2Wl9z6PR6PZFvZ2Rx0yZMiQRygDfFghe5Be97fhY358JmvIxP3V3R9IqM/VourklHPL5Sbw0LxxtN7HCACHtTNkyJDHRQb46AZqQMznphvIzeIua6whIgPwDqcqyoRTJppus8C/mVrtQHgT8WEQCoYMGfIYyQAfoLVGNBsAnwv3ddbRhF1QKZloiA2JdVVdc50kn7Xo9T4lQ+z1awDPkCFDHjO5bPAxbBkMGAw4wWi24BSIiT/dyqnlTm1mA4738DW6QPSGvX7CvX5NL9PBAJ0hQ4Y8pnLZ4OOSWQjOcqsurSQ2BER3FxMMQrmS481/O+jdlKRU26lt5bKzrNRDhgwZ8pjJAB+VjDHGCj1shUD/65bae6Jxog7whAWhvUSfN+VrGzJkyJDHUAb4AHmWg2yrBc4c3UvuqXGgIttsc9ynt9mbrMmpRXF6n6y9A3iGDBnyhMgAH5fdLAWdYfI1Qo0LrJBLjdcQUY44v7/eIy45Z98p2cDdgINMMGTIkCdYBvgo0SCjUjsYcAYEje/o3yyVWLCSDkxcdBrz2dst1eW0kz17yJAhQx5zGeADROsEiJaFkw085xrHdjQVjwtvzcDWzUlcdsqm40Sla1uqq40XnA5SwZAhQ55wuXDwEbeXxmDc6nGLRzMguJUTFoeWnBzQkAwInBzspLxSypJAtN7ScfMNGTJkyBMmFw4+2KwaZ7HpGh+3THxRpx9nCnaPAs0Ak6XW4fgNLzYFtk3jBtgMGTLkKZQLBx8CACDPu+ZEgUJJR3WraiACjDLl1P3mwqQCd+udk7l6yJAhQ55wuXDwQaRP81bacwcwTvNGn/b7gZYtp/GcIhaR2ULLduDp0a6HDBky5CmUAT6nU9wDx4P5GRjwDqJMDKjJPQmQujuYem62w3o/bR433GtDhgy5EBng48DTAwx1r7mrjHcw5aSgfi3vEwTE7Ni+YynvoDpkyJAhFyQDfFw4sD9ZdLkxzVpBBVgtIck80Ljhpu1/B64sdjRkyJAhFyADfFRChmliwmWxHQcM3hqbzwXmHCX+5G0bBpttyJAhFygDfDJROjVvra1AkbnreM2Qr+Nx2ja76nwN0ZAhQ4ZcmAzwyXYyBdqMBudYJ5whAVjYbLrDqLPbhsUzZMiQC5bLBp+CHHBKJ/YDLEBS3WyUkcCSNUD1nv+/vXuPkeos4zj+/UErTStBKBpJi6U0pE2pNgWiQqq2agKlafFSE4wmRTGKt2hMTDQkhGiMRk1s6iXGNIQ2ml7ES9pGqljwkhJoaAMsqEsp1AtB29JKSzQU4fGP8w777mF2d2Bnzpnd+X2SyZ455z0zz75zZp89t+fNrohzTTYzsx5PPmLwfT2Q3eMz4cwCoM0qU+dj/pQPt8HA5dg+xGZmdlpvJx8YqFbdqCydJyEYuOigcViufD4IsjI6EwauhmscbmvclOq9HTOz086rO4Da5edpGgloYnaBQJ5kIKtw0KQkD2Qldk76EJuZ2RCcfHJ54oEzS+2cPDW4fbObQ8uVEszM7Ay9nXzKuWFCdkit8VwqGjYb+K1c+bqx3EnHzGxYvZ18xEAyKVejzs/vNFO+v8eH2MzMWtbbySc4czyd8sBweULKE1VD40o2Jx4zs5b19tVujRySH2Yrj2ia13NTqdKB79sxMzsnvZ18yjeZ5sqDxJWX+b4dM7Nz1tuH3Ro3mcapwWP6nF7epLoBeE/HzGyUejv5NHJIfnNpM6Uhrs3MbHR6+7AbDJTFaUzng8s1qlG7CKiZWVs5+QxFWZUCMzNrq94+7FZWLqPjxGNm1hFOPmW+b8fMrOOcfAYNk+CkY2ZWhZ4/5xN5zTYnHjOzSvT2nk8Eknxux8ysYoqhCmf2AEkvA/11xzGC6cDzdQfRAsfZXo6zvRxn+1wZEZNH+yK9vecD/RGxoO4ghiNpR7fHCI6z3RxneznO9pG0ox2v0/PnfMzMrHpOPmZmVrleTz4/qjuAFoyFGMFxtpvjbC/H2T5tibGnLzgwM7N69Pqej5mZ1cDJx8zMKjcuk4+kJZL6Je2X9KUmyydJuj8t3y5pVrbsy2l+v6TFNcf5BUl/krRb0qOSLsuWnZS0Mz0erDnOFZKey+L5WLbsdklPpcftNcf5nSzGfZL+nS2rpD8lrZP0rKQ9QyyXpDvT77Bb0rxsWZV9OVKcH0rx9UnaKunabNkzaf7Odl2WO4o4b5B0NPts12TLht1eKo7zi1mMe9L2OC0tq6Q/Jc2UtCX9zdkr6XNN2rRv+4yIcfUAJgJPA7OBVwG7gKtLbT4F/DBNLwfuT9NXp/aTgMvT60ysMc4bgQvT9Ccbcabnx7qoP1cA32uy7jTgQPo5NU1PrSvOUvvPAutq6M+3A/OAPUMsXwpspBhn963A9qr7ssU4FzXeH7ipEWd6/gwwvUv68wbg4dFuL52Os9T2FmBz1f0JzADmpenJwL4m3/W2bZ/jcc/nzcD+iDgQEa8A9wHLSm2WAXen6Q3AuyQpzb8vIo5HxEFgf3q9WuKMiC0R8Z/0dBtwaYdiGU4r/TmUxcCmiHghIl4ENgFLuiTODwL3diiWIUXEH4AXhmmyDLgnCtuA10iaQbV9OWKcEbE1xQH1bZut9OdQRrNdn7WzjLOubfNwRDyZpl8G/gxcUmrWtu1zPCafS4C/Z8//wZkdeLpNRPwPOApc3OK6VcaZW0nxH0fDBZJ2SNom6T2dCDBpNc73p93wDZJmnuW67dDye6XDl5cDm7PZVfXnSIb6Parsy7NV3jYD+I2kJyR9vKaYcgsl7ZK0UdLcNK8r+1PShRR/tH+Wza68P1WcirgO2F5a1Lbts9fL64wJkj4MLADekc2+LCIOSZoNbJbUFxFP1xMhDwH3RsRxSZ+g2Kt8Z02xtGI5sCEi8oqy3dSfY4akGymSz/XZ7OtTX74O2CTpL+k//zo8SfHZHpO0FPglMKemWFpxC/BYROR7SZX2p6RXUyS/z0fES516n/G453MImJk9vzTNa9pG0nnAFOBIi+tWGSeS3g2sBm6NiOON+RFxKP08APyO4r+UWuKMiCNZbHcB81tdt8o4M8spHdaosD9HMtTvUWVftkTSmyg+72URcaQxP+vLZ4Ff0LlD1yOKiJci4lia/hVwvqTpdGF/JsNtmx3vT0nnUySen0TEz5s0ad/22emTWFU/KPbmDlAcVmmcSJxbavNpBl9w8ECansvgCw4O0LkLDlqJ8zqKk6JzSvOnApPS9HTgKTp0srTFOGdk0+8FtsXASciDKd6paXpaXXGmdldRnMBVHf2Z3mMWQ58gv5nBJ3Qfr7ovW4zzDRTnRBeV5l8ETM6mtwJLaozz9Y3PmuKP9t9S37a0vVQVZ1o+heK80EV19Gfql3uAO4Zp07bts2MdXeeD4oqMfRR/uFeneV+h2HsAuAD4afryPA7MztZdndbrB26qOc7fAv8CdqbHg2n+IqAvfWH6gJU1x/l1YG+KZwtwVbbuR1M/7wc+Umec6fla4Bul9SrrT4r/ag8DJyiOi68EVgGr0nIB30+/Qx+woKa+HCnOu4AXs21zR5o/O/XjrrRNrK45zs9k2+Y2smTZbHupK87UZgXFBU/5epX1J8Wh0wB2Z5/r0k5tny6vY2ZmlRuP53zMzKzLOfmYmVnlnHzMzKxyTj5mZlY5Jx8zM6uck4+ZmVXOycesDSRdnJXE/6ekQ2n6mKQfdOD91ks6KGnVMG3elsrjNy3jb1Yn3+dj1maS1lIM0fDtDr7HeoqhAjaM0G5WandNp2IxOxfe8zHroDSY2cNpeq2kuyX9UdJfJb1P0jfTQGGPpLpaSJov6fepivGvU8n6kd7nA2kQsl2S6iriadYyJx+zal1BUfH7VuDHwJaIeCPwX+DmlIC+C9wWEfOBdcDXWnjdNcDiiLg2vbZZV/OQCmbV2hgRJyT1UYym+Uia30dRePJK4BqK0vmkNodbeN3HgPWSHgCaVSM26ypOPmbVOg4QEacknYiBk66nKL6PAvZGxMKzedGIWCXpLRRVh5+QND+yYQ7Muo0Pu5l1l37gtZIWQjG+Sjb65pAkXRER2yNiDfAcg8dWMes63vMx6yIR8Yqk24A7JU2h+I7eQVFOfzjfkjSHYs/pUYoS/GZdy5dam41BvtTaxjofdjMbm44CXx3pJlPgIeD5yqIya5H3fMzMrHLe8zEzs8o5+ZiZWeWcfMzMrHJOPmZmVrn/A07/JwMbhu4zAAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "data = bifrost.ndarray(data, space='cuda')\n",
        "ddata = bifrost.ndarray(shape=(time.size, time.size),\n",
        "                        dtype=data.dtype, space='cuda')\n",
        "f = bifrost.fdmt.Fdmt()\n",
        "f.init(freq.size, time.size, freq[0]/1e6, (freq[1]-freq[0])/1e6)\n",
        "f.execute(data, ddata)\n",
        "ddata2 = ddata.copy(space='system')\n",
        "\n",
        "tint = time[1] - time[0]\n",
        "dm = numpy.arange(time.size)*1.0\n",
        "dm *= tint / 4.15e-3 / ((freq[0]/1e9)**-2 - (freq[-1]/1e9)**-2)\n",
        "\n",
        "pylab.imshow(ddata2, extent=(time[0], time[-1], dm[-1], dm[0]))\n",
        "pylab.axis('auto')\n",
        "pylab.xlabel('Time [s]')\n",
        "pylab.ylabel('DM [pc cm$^{-3}$]')\n",
        "pylab.yticks(numpy.arange(0.0, 2.5, 0.625)); None"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "a307015b",
      "metadata": {
        "id": "a307015b"
      },
      "source": [
        "## bifrost.linalg.LinAlg\n",
        "\n",
        "The final useful function in Bifrost that we will explore is `bifrost.linalg.LinAlg`.  This function implements a variety of matrix-matrix operations.  It supports:\n",
        "\n",
        " * $C = \\alpha A × B + \\beta C$\n",
        " * $C = \\alpha A × A^H + \\beta C$ (if $B$ is not provided)\n",
        " * $C = \\alpha B^H × B + \\beta C$ (if $A$ is not provided)\n",
        "\n",
        "where $\\alpha$ and $\\beta$ are scalar values, $×$ is a matrix product, and $·^{H}$ denotes a Hermetian transpose.  For matricies with more than two dimensions the semantics are the same as for `numpy.matmul`:  The last two dims represent the matrix, and all other dimensions are used as batch dimensions to be matched or broadcast between $A$ and $B$.\n",
        "\n",
        "These three operations make this function useful for implementing simple beamformers or cross-correlation operations.  For a beamformer:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "id": "95844ac9",
      "metadata": {
        "id": "95844ac9",
        "outputId": "d65a46ce-4ab9-4219-d2ac-63b01b48aedc",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "numpy.matmul: -0.06674242\n",
            "numpy manual: -0.06674248\n",
            "bifrost: -0.06674242\n"
          ]
        }
      ],
      "source": [
        "data = numpy.random.randn(1000, 32, 48)   # time, channel, input\n",
        "data = data.astype(numpy.float32)         # beam, channel input\n",
        "coeffs = numpy.ones((1, 32, 48))\n",
        "for i in range(coeffs.shape[1]):\n",
        "    coeffs[:,i] = i/32.0\n",
        "coeffs = coeffs.astype(numpy.float32)\n",
        "beam = numpy.matmul(coeffs.transpose(1,0,2), data.transpose(1,2,0))\n",
        "beam = beam.transpose(2,0,1)               # time, channel, beam\n",
        "print('numpy.matmul:', beam[0,10,0])\n",
        "print('numpy manual:', (data[0,10,:]*coeffs[0,10,:]).sum())\n",
        "\n",
        "data = bifrost.ndarray(data, space='cuda')\n",
        "coeffs = bifrost.ndarray(coeffs, space='cuda')\n",
        "beam = bifrost.ndarray(shape=(32,1,1000), dtype=numpy.float32,\n",
        "                       space='cuda')\n",
        "l = bifrost.linalg.LinAlg()\n",
        "beam = l.matmul(1.0, coeffs.transpose(1,0,2), data.transpose(1,2,0),\n",
        "                0.0, beam)\n",
        "beam2 = beam.copy(space='system')\n",
        "beam2 = beam2.transpose(2, 0, 1)\n",
        "print('bifrost:', beam2[0,10,0])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "a59c251e",
      "metadata": {
        "id": "a59c251e"
      },
      "source": [
        "This example illustrates one of the complexities when dealing with real data.  The axis order that makes the most sense for some operations may not be the best match for other operations.  Luckily `bifrost.linalg.LinAlg` supports at least some on-the-fly transpose operations and an explict transpose may not be necessary."
      ]
    },
    {
      "cell_type": "markdown",
      "id": "48298668",
      "metadata": {
        "id": "48298668"
      },
      "source": [
        "## Remaining Functions\n",
        "\n",
        "The remaining functions of `bifrost.fir`, `bifrost.romein`, `bifrost.quantize`, and `bifrost.unpack` will not be addressed here.  However, `bifrost.quantize` and `bifrost.unpack` will be used later in the tutorial."
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.6.9"
    },
    "colab": {
      "name": "01_useful_functions.ipynb",
      "provenance": []
    },
    "accelerator": "GPU",
    "gpuClass": "standard"
  },
  "nbformat": 4,
  "nbformat_minor": 5
}
